If then, find f'(x). O f(x) = ²* √e² + 1 dt, 2√e +1 O None of them. O Ve +1+ C O √e™ +1 e

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Q: d (d) Use the Inverse Function Theorem to prove dr = -/n-1 for all I E (0, 00), n E N.

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Q: s if 0 < x <277 -cos 2xsin x

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Q: 3x10 + 3a5 + 5æ² + 7. What particular solution that satisfies Suppose f'(x) 455 -? 66 f(1)

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Q: Suppose f(-4)= -7 and f'(-4)= 7. Find t d (7x² + 10x + 3) f(x) at x = -4 is dx d f(x) dx 7x² + 10x…

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Q: Let f(x) 39 27 O 1 4√3 O-√6 9 3√3 .-1 (²). Then the second derivative at x = -1,f"(-1), equals = COS

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Q: 8. Find all the roots of f(x) =x* - 4x' + 6x² – 4x+5 if 2-iis one root.

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Q: 1. ſ X (2x-5)² (3-4x) dx.

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Q: Q6. Verify that 8²1 əxəy for the function f(x,y) = ln(2x + 3y)

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A: Please refer to the image below

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Q: 1. (D² - 4D+5) (e² sin x)

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Q: 4. Find in the interval notation the domain and the range of the function: (a) -4, if r3 (b) and…

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A: